Actuarial Notes

SOA Exam FM Sample Question 443

Study guide: Exam FM-2

Kelly sets up a savings account and makes a deposit at the beginning of each month starting today. The following information is known about the account:

  • i) Within each year, the amounts of monthly deposits are all equal.
  • ii) For any given year, the monthly deposits are 10% greater than the monthly deposits of the previous year.
  • iii) The savings account earns an annual nominal interest rate of 2.4% compounded monthly.
  • iv) The accumulated amount of the savings account at the end of year 10 is 21,234.05.
  • v) The amount of the monthly deposit in year 5 is K.

Calculate K.

  • A) 133.02
  • B) 144.68
  • C) 146.41
  • D) 146.70
  • E) 147.12

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